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Finding the Fourth Proportional to 3,492.50, 5,237.00 and 1,120.26

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Solution

The fourth proportional to 3,492.50, 5,237.00 and 1,120.26 is: 1,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.50 : 5,237.00 = 1,120.26 : x
  2. Step 2: Convert to fraction form
    3,492.50/5,237.00 = 1,120.26/x
  3. Step 3: Cross multiply
    3,492.50x = 5,237.00 × 1,120.26
  4. Step 4: Simplify right side
    3,492.50x = 5,866,826.16
  5. Step 5: Solve for x
    x = 5,866,826.16/3,492.50
  6. Step 6: Final answer
    x = 1,679.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.